Eighty five percent of what number is 38.25

1. We assume, that the number 38.25 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 38.25 is 100%, so we can write it down as 38.25=100%.

4. We know, that x is 85% of the output value, so we can write it down as x=85%.

5. Now we have two simple equations:

1) 38.25=100%

2) x=85%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

38.25/x=100%/85%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 85% of 38.25

38.25/x=100/85

(38.25/x)*x=(100/85)*x       -

38.25=1.1764705882353*x       -

38.25/1.1764705882353=x

32.5125=x

x=32.5125

now we have:

85% of 38.25=32.5125

This may help and if it does then please thank me in the comments.